Advances in Materials Research

Volume 15, Number 1, 2026, pages 83-105

DOI: 10.12989/amr.2026.15.1.083

Porosity effects on the thermal buckling of functionally graded plate: Modeling and analysis

Khayra Draouche , Lazreg Hadji , Royal Madan , Nafissa Zouatnia , Hassen Ait Atmane

Abstract

Porosity in functionally graded materials (FGMs) arises during fabrication due to several factors, depending on the technique employed. The type of reinforcement used significantly influences the overall porosity percentage. The presence of porosity negatively affects the performance of FG structures. Consequently, this study focuses on conducting a thermal buckling analysis of FG porous plates using a refined shear deformation plate theory. This theory accounts for a quadratic variation of the transverse shear strains through the thickness and satisfies zero traction boundary conditions on the plate's top and bottom surfaces without relying on shear correction factors. Thermal loads were applied by varying the temperature uniformly, linearly, and non-linearly through the thickness. The problem was addressed assuming the plate to be simply supported at its ends. The rule of mixtures was used to estimate the material properties, and a porosity parameter was introduced to represent the equal distribution of porosity in the metal and ceramic mixture. The effects of volume fraction index, porosity fraction index, aspect ratio, and side-to-thickness ratio were investigated.

Key Words

FG plate; functionally graded materials; porosity; refined shear deformation plate theory; thermal buckling

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